Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 76440d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76440.r1 | 76440d1 | \([0, -1, 0, 15664, 168540]\) | \(71997884/43875\) | \(-259000979328000\) | \([]\) | \(314496\) | \(1.4549\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76440d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76440d do not have complex multiplication.Modular form 76440.2.a.d
sage: E.q_eigenform(10)